My wife and I went there for a day trip on our honeymoon last year. Saw the car campground and stopped there to get a map and an idea of the best trails for our visit.
The hike sylvesterii is talking about is a very long one. We started out with the short hike to the "Sea Lion" rock formation and then continued down the Kebeyun trail (9km and very flat and wide) where it connected to the Top of The Giant Trail (3km). This is the trail where the elevation starts. As stated, nothing you need climbing gear for. It is just a steady incline to the top, some sections with wooden stairs.
Check out the first lookout point at the top and continue on to see the chimney. I really suggest talking with someone at the campground, they can give you a better idea of how to get to the chimney lots of spur trails when you get on top of the Sleeping Giant.
Below are pictures of both the "sea lion" and "chimney"